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The rate of change of the area of a circ...

The rate of change of the area of a circle with respect to its radius r at `r = 6`cm is(A) `10pi` (B) `12pi` (C) `8pi` (D) `11pi`

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Area of a circle `A = pir^2`
`:.` Rate of change of area with respect to radius, `(dA)/(dr) = 2pir`
At `r = 6`, Rate of change, `((dA)/(dr))_(r=6) = 2pi**6 = 12pi cm^2.`
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